Electrodynamics of a Regular Composite Medium with Plate Grates of Magnetodielectric and Contrast Materials

Abstract

The electromagnetic fields of a bounded and semi-infinite sequence of same four-layer heterogeneities are studied. The heterogeneity is formed by different homogeneous isotropic layers and thick periodic grates of rectangular cross-section infinite plates. The plates are made of magnetodielectric or contrast materials (silver, quartz) including these with negative permittivity. The grates are considered as homogeneous anisotropic layers with the effective permittivity and permeability tensors. The diffraction problem is solved via the circuit theory and matrix function methods. The properties of quasi-transparency (quasi-closing) zones, the dynamic of band and resonance wave passage on the parametric dependencies of the scattering coefficients for different polarization fields, and the thin-layer structure effective permittivity tensor are determined. The scattering fields forming features in an optical range for the structure being formed by an ultra-thin plate grate sequence are found, especially their correlation with frequency ranges where a sign combination of the effective permittivity tensor components differs. The possibility of using such systems for polarization selection in both wide frequency band and ultra-Q frequency and angle resonance modes is proved.